306305690112 has 240 divisors, whose sum is σ = 894169329768. Its totient is φ = 100934615040.

The previous prime is 306305690101. The next prime is 306305690137. The reversal of 306305690112 is 211096503603.

306305690112 is a `hidden beast` number, since 3 + 0 + 630 + 5 + 6 + 9 + 0 + 1 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14550149376 + 291755540736 = 120624^2 + 540144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396255358 + ... + 396256130.

Almost surely, 2^306305690112 is an apocalyptic number.

306305690112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306305690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447084664884).

306305690112 is an abundant number, since it is smaller than the sum of its proper divisors (587863639656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306305690112 is a wasteful number, since it uses less digits than its factorization.

306305690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 306305690112 in words is "three hundred six billion, three hundred five million, six hundred ninety thousand, one hundred twelve".